Graphene/poly(vinylidene fluoride) composites with high dielectric constant and low
percolation threshold
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IOP PUBLISHING NANOTECHNOLOGY
Nanotechnology 23 (2012) 365702 (8pp) doi:10.1088/0957-4484/23/36/365702
Graphene/poly(vinylidene fluoride)
composites with high dielectric constant
and low percolation threshold
Ping Fan, Lei Wang, Jintao Yang, Feng Chen and Mingqiang Zhong
College of Chemical Engineering and Material, Zhejiang University of Technology, Hangzhou, 310014,
People’s Republic of China
E-mail: zhongmingqiang@hotmail.com
Received 6 June 2012, in final form 18 July 2012
Published 21 August 2012
Online at stacks.iop.org/Nano/23/365702
Abstract
In aiming to obtain highly flexible polymer composites with high dielectric performance,
graphene/poly(vinylidene fluoride) (PVDF) composites with a multi-layered structure were
proposed and prepared. Graphene sheets were prepared by reducing graphene oxide using
phenylhydrazine, which could effectively alleviate aggregation of the graphene sheets. A
two-step method, including solution casting and compression molding, was employed to
fabricate the graphene/PVDF composites. The composites showed an alternative multi-layered
structure of graphene sheets and PVDF. Due to their unique structure, the composites had an
extremely low percolation threshold (0.0018 volume fraction of graphene), which was the
lowest percolation threshold ever reported among PVDF-based polymer composites. A high
dielectric constant of more than 340 at 100 Hz could be obtained within the vicinity of the
percolation threshold when the graphene volume fraction was 0.00177. Above the percolation
threshold, the dielectric constant continued to increase and a maximum value of as high as
7940 at 100 Hz was observed when the graphene volume fraction was 0.0177.
(Some figures may appear in colour only in the online journal)
1. Introduction
Poly(vinylidene fluoride) (PVDF) and its copolymers have
attracted much attention for their variety of applications in
electromechanical systems [1–4]. However, a high dielectric
constant is highly desirable when they are employed as
functional materials, such as high-storage capacitors and
electrostriction system for artificial muscles. Various methods
have been developed to increase the dielectric constant of
PVDF composites. The traditional approach is to disperse
high dielectric constant ceramic powder in PVDF to prepare
0–3 type composites. To achieve sufficiently high dielectric
constant, a very high filler content (usually over 50 vol%) is
in general necessary. Such high content of ceramic powders
significantly degrades the mechanical performance of the
composites.
To address this problem, conductive-filler/polymer com-
posites with percolation threshold have been proposed [5].
Because a small volume fraction of conductive filler is able to
achieve high dielectric constant, the flexibility of the polymer
matrix is preserved [6–15]. Metal particles [6–8], acetylene
black [9], carbon fiber [10], carbon nanotubes [11–14], and
graphite nanoplates [15] have been used as conductive fillers.
Graphene, a flat monolayer of carbon atoms tightly
packed into a two-dimensional honeycomb lattice, is
emerging as a rising star in the field of materials science
because of its unique electronic, thermal, and mechanical
properties [16–18]. Compared to carbon nanotubes, which
can be regarded as rolled-up graphene sheets, graphene
can be obtained from cheap graphite by simple chemical
treatments. Moreover, graphenes have many interesting
transport properties, such as the quantum Hall effect
and quantum tunneling effect [19–21]. Therefore, it is
generally accepted that graphene will be superior to carbon
nanotubes in many applications. There have been reports
on graphene/PVDF composites with interesting dielectric
10957-4484/12/365702+08$33.00 c© 2012 IOP Publishing Ltd Printed in the UK & the USA
Nanotechnology 23 (2012) 365702 P Fan et al
properties. Cui et al [22] prepared a graphene/PVDF
composite with percolation threshold of 4.08 vol%. A
maximum dielectric constant of 2080 at 1000 Hz was
achieved for the composite with 12.5 vol% graphene. Song
et al [23] prepared graphene/PVDF composites by ultrasonic
processing and mechanical mixing. In both cases, no effort
has been made to control the distribution of graphene and
the morphology of the composite. Therefore, graphene sheets
were randomly dispersed in the PVDF matrix, which easily
form conductive network so that it is difficult to achieve a high
dielectric constant.
Since graphene has an excellent electrical conductivity
and a flake shape with high aspect ratio, it is possible to form
a microcapacitor in the composite if two graphene sheets have
a compact parallel structure, isolated by a thin layer of the
polymer. This is because it has been shown that the dielectric
constant of polymer composites can be greatly increased by
having numerous microcapacitors [24–27].
To obtain such a structure, special attention must be paid.
The first problem is the aggregation of the graphene sheet.
It is well known that pristine graphene consists of carbon
atom layers packed densely in a honeycomb crystal lattice
without any polar group. Thus, pristine graphene sheets are
not intercalatable by large species, such as polymer chains,
because they have a pronounced tendency to agglomerate
in a polymer matrix. The second problem is the random
distribution of the graphene sheets in the composite.
In order to solve the first problem, graphenes were
prepared by reducing graphene oxide (GO) with phenylhy-
drazine. Fourier transform infrared (FTIR) spectroscopy and
x-ray photoelectron spectroscopy (XPS) were used to confirm
whether the phenyl group of phenylhydrazine was introduced
on the graphene sheets. In order to solve the second problem, a
mixture solution of PVDF and graphene sheets were cast into
films and then several solution-cast films were stacked layer
by layer and hot-pressed into graphene/PVDF composites.
Morphology of the composite was examined by using a
scanning electron microscope (SEM). Broadband dielectric
spectroscopy was applied to study the electrical conductivity
and dielectric constant of the graphene/PVDF composites
over a wide frequency range (10–106 Hz).
2. Experimental details
2.1. Materials
Natural flake graphite used in this study was supplied
by Guangli Graphite Co., Ltd, Qingdao, China. N,N-
dimethylacetamide (DMAc), 98% sulfuric acid (H2SO4),
30% hydrogen peroxide (H2O2), sodium nitrate (NaNO3)
and potassium permanganate (KMnO4) were purchased from
Shuanglin Chemical Reagent Factory of Hangzhou, China and
were used as received without purification. PVDF (FR901)
was purchased from Shanghai 3F New Material Co., Ltd.
2.2. Synthesis of GO
GO was synthesized from purified natural flake graphite by a
modified Hummers method [28, 29]. Briefly, graphite powder
(5 g), NaNO3 (3.75 g) and concentrated H2SO4 (200 ml) were
added into the 1000 ml flask and stirred uniformly in an ice
bath. Then, KMnO4 (40 g) was gradually added with stirring
and cooling in order to keep the temperature below 20 ◦C.
The mixture was then stirred at room temperature for about
24 h until a viscous fluid was obtained. Then, 5 wt% of dilute
H2SO4 (500 ml) was slowly added and the temperature was
controlled to be lower than 100 ◦C. After stirring for 2 h,
the reaction was terminated by adding 30% H2O2 solution
(26.97 ml). The mixture was left overnight. Graphite oxide
particles, settled at the bottom, were separated from the excess
liquid by decantation, followed by centrifugation. Then, it was
washed with a mixture aqueous solution (the volume ratio of
water, H2O2 and H2SO4 is equal to 1:0.23:0.26) and deionized
water. Graphite oxide was obtained after drying. 100 mg
graphite oxide was dispersed in 100 ml of water to create a
yellow-brown dispersion, and the exfoliation of graphite oxide
to GO was achieved by sonication with a cylindrical tip for
1 h.
2.3. Reduction of GO
In this paper, graphenes were obtained by reducing the
GO sheets using phenylhydrazine as a reducing agent.
For comparison, graphenes were also prepared by reducing
the GO using hydrazine hydrate as a reducing agent.
The graphene sheets reduced by hydrazine hydrate and
phenylhydrazine were marked with G1 or G2 respectively.
In a typical synthesis procedure, about 100 mg GO was
dispersed in 100 ml deionized water. The dispersion was
ultrasonicated until it became clear, without visible particulate
matter. Subsequently, hydrazine hydrate (1 ml, 32.1 mmol)
was added to the solution to prepare G1. After heating at
100 ◦C for 24 h, the mixture turned from yellowish brown
to black. The mixture was then cooled, filtered and washed
several times with deionized water. The product was dried at
50 ◦C under vacuum overnight to obtain G1. To synthesize
G2, phenylhydrazine (1 ml) was added to the GO solution,
which was then kept for 24 h at room temperature. The
reduced GO, precipitated as a black solid, was isolated by
filtration. Then it was washed several times with ethanol and
DMAc, and finally dried at 50 ◦C under vacuum overnight to
obtain G2.
2.4. Preparation of graphene/PVDF composites
The G2 were ultrasonically dispersed in DMAc for 3 h
in order to form a stable suspension. At the same time,
PVDF powder was also dissolved in DMAc. Then, both
suspensions were mixed. The mixture was subjected to
ultrasonic dispersion for another 3 h and cast into film. In
order to completely remove DMAc, the mixture was first dried
at 60 ◦C for 24 h and then dried in vacuum oven at 80 ◦C for
12 h. Films formed after evaporation of DMAc were further
stacked layer by layer and hot-pressed at about 200 ◦C and
15 MPa into disk-shaped samples of about 9 mm in diameter
and 5 mm in thickness.
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Nanotechnology 23 (2012) 365702 P Fan et al
Figure 1. FTIR of GO, G1 and G2.
2.5. Characterizations
JEOL JEM-1230 transmission electron microscopy (TEM)
at an acceleration voltage of 80 kV was used to observe
the morphology of the graphene sheets. The samples were
prepared by dispersing the graphene sheets in methanol
and drop coating onto a copper grid. FTIR spectra analysis
was performed by using a Nicolet 6700 FTIR spectrometer
(Thermo Co., USA). All infrared spectra were scanned from
4000 to 400 cm−1 with a resolution of 4 cm−1. XPS was
recorded on a Kratos Axis Ultra-DLD system (Shimadzu
Co., Ltd, Hong Kong) with Al Kα ray (1486.6 eV) and the
C1 s peaks were fitting according to a Gaussian distribution.
The morphologies of the G2/PVDF composite were examined
using a Hitachi S-4700 SEM. The samples were fractured in
liquid nitrogen and coated by gold. X-ray diffraction (XRD)
patterns were performed at room temperature using an X’Pert
PRO diffractometer (PANalytical, Holland) with Cu radiation
(36 kV, 30 mA). All XRD data were collected in the range of
2θ = 10◦–80◦ at a step of 0.02◦. The dielectric properties of
the composites were characterized by means of a broadband
dielectric spectrometer (Turnkey Concept 80, Novocontrol
Tech. GmbH & Co. KG, Hundsangen, Germany) at room
temperature using the gold-pasted sample. The value of AC
voltage applied to the samples during measurements is 1 V
and the samples were polished by fine sandpaper before gold
sputtering in order to diminish the contact resistance.
3. Results and discussion
FTIR results of GO, G1 and G2 are shown in figure 1. After
reduction, the absorption peaks at about 1575 and 1722 cm−1,
which correspond to the carbonyl vibration peak, disappear in
the FTIR spectra of both G1 and G2. Furthermore, compared
to G1, which does not show obvious absorption peaks in
its FTIR spectrum, absorption peaks corresponding to the
structure of styrene appear in the FTIR spectrum of G2.
The bands at 2917, 2847, 1620 and 670 cm−1 correspond to
C–H unsymmetrical stretch, C–H symmetrical stretch and the
aromatic ring vibration, which demonstrates that the phenyl
group of phenylhydrazine was covalently bonded onto the G2
sheets.
Figure 2. XPS wide spectrum of the GO, G1 and G2.
Figures 2 and 3 are the full XPS spectra and narrow scan
spectra of C 1s of the GO, G1 and G2. As shown in figure 2,
after reduction, the level of carbon increases while the level
of oxygen decreases. The C1s signal of GO was peak-fitted
with four components which represent the carbons atoms in
different functional groups [30]: (1) aliphatic hydrocarbon
(C–C/C–H, at a binding energy of 284.8 eV), (2) hydroxyl
or epoxide carbon (C–O at 286.0 eV), (3) carbonyl carbon
(C=O at 287.1 eV) and (4) carboxyl carbon (−COO at
288.9 eV). The C 1s spectra of G1 and G2 also exhibit peaks
corresponding to the functional groups with oxygen, but their
intensities are much lower than those in GO, indicating some
oxygen functional groups were removed during the reduction
process.
For preparing composites by the solution blending
method, the distribution of graphene sheets in the PVDF
matrix is largely determined by their dispersion state in
the solvent. Therefore, the dispersion stability of G1 and
G2 in DMAc were investigated. As shown in figure 4, G1
precipitates rapidly while G2 has good dispersion stability.
The good dispersion stability of the G2 in DMAc might
be attributed to the steric effect of the phenyl groups of
phenylhydrazine that are covalently bonded with the graphene
sheets. Therefore, G2 was chosen to prepare graphene/PVDF
composite.
Typical SEM and TEM images are shown in figure 5. It
can be observed that the G2 consists of randomly aggregated,
thin and crumpled sheets closely associated with each other by
forming a disordered solid flake. The thickness of the sheets
is in the range of 2–6 nm (figure 5(a)). The morphology of
graphene is more obvious in the TEM image.
SEM images of the composites with G2 of 0.001 77
and 0.0177 volume fractions are shown in figure 6. The
graphene sheets are homogeneously dispersed in the PVDF
matrix without serious aggregation. Most graphene sheets
are perpendicular to the fracture surface and parallel to one
another. However, due to the low content of graphene, the
distance between neighboring sheets is large, so that only a
small number of microcapacitors are formed. As the graphene
content is increased, an obvious multi-layered structure with
graphene sheets intercalated by PVDF layers is observed
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Nanotechnology 23 (2012) 365702 P Fan et al
Figure 3. XPS carbon 1s core-level spectra of the GO, G1 and G2.
Figure 4. Photo images of the G1 and G2 dispersed in DMAc.
Figure 5. SEM image (a) and TEM image (b) of the G2.
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Nanotechnology 23 (2012) 365702 P Fan et al
Figure 6. SEM micrographs of the graphene/PVDF composite containing graphene volume fractions of 0.001 77 ((a), (b)) and 0.0177 ((c),
(d)).
Figure 7. XRD patterns of the pure PVDF and the graphene/PVDF
composites with different graphene contents.
(figures 6(c) and (d)). After the solution was cast and the
solvent evaporated, the graphene sheets with large aspect
ratios tended to preferentially orient in the plane of the
film. The hot-press process further strengthened the preferred
orientation of graphene sheets.
It has been widely reported that PVDF shows highly
complicated crystalline structures and exhibits at least five
possible types of crystal phase (α, β, γ , δ and ε). The
presence of polar β-phase is of crucial importance to show
piezoelectricity. As shown in figure 7, with increasing content
of graphene, the amount of the β-phase (2θ ≈ 20◦) increases
slightly and that of the α-phase (2θ ≈ 18◦) decreases slightly.
Although it is accepted that the increase of the β-phase is
beneficial for piezoelectric properties, the slight increase in
Figure 8. AC conductivity of graphene/PVDF composites as a
function of graphene volume fraction, measured at 100 Hz and
room temperature. The insets show the best fit of conductivity to
equation (1).
the β-phase in this case will contribute little to the dielectric
constant.
In inorganic–organic conducting-polymer-based com-
posites, the critical volume fraction at the percolation
threshold, fc, is a key parameter when studying their electrical
properties [3, 26]. Near the percolation threshold, the elec-
trical conductivity and dielectric constant of the composites
increase by several orders of magnitude. Figure 8 shows the
alternating-current (ac) conductivity of the graphene/PVDF
composites as a function of graphene volume fraction
(fgraphene), measured at room temperature and 100 Hz. The
5
Nanotechnology 23 (2012) 365702 P Fan et al
conductivity can be further analyzed with the critical graphene
content fc by the power laws [24, 25, 31, 32] ,
σeff ∝ σi(fc − fgraphene)−q for fc > fgraphene (1a)
σeff ∝ σi(fgraphene − fc)t for fc < fgraphene (1b)
where σeff is the effective conductivity of the composites, σi
is the conductivity of the insulating PVDF, fgraphene is the
graphene volume fraction, fc is the critical volume fraction
at the percolation threshold, q is the critical exponent in
the insulating PVDF, and t is the conductivity exponent.
The best linear fit of the conductivity data to log–log
plots of the power laws for equation (1) gives fc = 0.0018
and t = 3.81 (the inset in figure 8). To the best of our
knowledge, this percolation threshold is the lowest, compared
with those reported previously. The critical exponent in the
conducting region, t = 3.81, is higher than the universal ones
(tun ≈ 1.6–2). Similar values have also been reported in the
multiwall carbon nanotube (MWCN)/PVDF composites [14]
and MWCN/polycarbonate composites [31]. The t values
might be related to the micro-structural properties (i.e. filler
size, shape etc) of the conductive-filler/PVDF composites.
Figure 9 shows dielectric constant and dielectric loss of
the composites. The addition of graphene led to composites
with remarkably increased dielectric constant. The dielectric
constant of the sample with fgraphene = 0.001 77 is 340, which
is about 30 times higher than that of pure PVDF (about 10).
A even higher dielectric constant of 7940 can be obtained for
the graphene/PVDF composite with fgraphene = 0.0177, which
is approximately three orders of magnitude higher than the
value of pure PVDF. When the graphene content is near the
percolation threshold, the dielectric constant can be expressed
by the percolation-theory power law [6, 24],
εeff ∝ εi(fc − fgraphene)−s, for fgraphene < fc (2)
where εeff is effective dielectric constant of the composites
and s is critical exponent. From the best fitting, we got fc =
0.0018 and s = 1.09. The critical exponent s agrees well with
the universal one (s ≈ 1) [24].
We believe that the great increase of dielectric constant
of the graphene/PVDF composites can be attributed to the
formation of the multi-layered structure. The variation of
dielectric constant versus fgraphene can be explained in light
of the microcapacitor model. Namely, a pair of neighboring
graphenes is regarded as a microcapacitor, with the graphenes
as the two electrodes and a very thin PVDF layer in between
as dielectric. A network of these microcapacitors expands
between two virtual electrodes with increasing graphene
content. Each microcapacitor contributes an abnormally large
capacitance.
The evolution of the dielectric constant of the graphene/
PVDF composites can be divided into three stages (A,
B, and C). Initially, when a small amount of graphene
is incorporated, the graphene sheets are isolated from one
another and only a small number
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